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Finding the Third Proportional to 363,543,088.78 and 575,749,999.69

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Solution

The third proportional to 363,543,088.78 and 575,749,999.69 is: 911,826,059.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,543,088.78 : 575,749,999.69 = 575,749,999.69 : x
  2. Step 2: Convert to fraction form
    363,543,088.78/575,749,999.69 = 575,749,999.69/x
  3. Step 3: Cross multiply
    363,543,088.78x = 575,749,999.69 × 575,749,999.69
  4. Step 4: Simplify right side
    363,543,088.78x = 331,488,062,140,156,224
  5. Step 5: Solve for x
    x = 331,488,062,140,156,224/363,543,088.78
  6. Step 6: Final answer
    x = 911,826,059.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.